In Problems 27-34, consider the normal distribution with mean 60 and standard deviation 12 . Find the area under the normal curve and above the given interval on the horizontal axis. 54 , 66
In Problems 27-34, consider the normal distribution with mean 60 and standard deviation 12 . Find the area under the normal curve and above the given interval on the horizontal axis. 54 , 66
Solution Summary: The author calculates the area under the normal curve and above the interval left[54,66right] on the horizontal axis with mean 60 and standard deviation at 12 is 0.3830
In Problems 27-34, consider the normal distribution with mean
60
and standard deviation
12
. Find the area under the normal curve and above the given interval on the horizontal axis.
54
,
66
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
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